Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38088t |
Isogeny class |
Conductor |
38088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5829120 |
Modular degree for the optimal curve |
Δ |
-3156777212489570304 = -1 · 211 · 39 · 238 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 5 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-937309179,-11045170357450] |
[a1,a2,a3,a4,a6] |
j |
-778918741604594/27 |
j-invariant |
L |
3.3015220904602 |
L(r)(E,1)/r! |
Ω |
0.013642653266318 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76176f1 12696e1 38088w1 |
Quadratic twists by: -4 -3 -23 |